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112012100032 = 2672922937649
BaseRepresentation
bin110100001010001110…
…0010000000111000000
3101201010022112020201111
41220110130100013000
53313400044200112
6123242504013104
711043523066210
oct1502434200700
9351108466644
10112012100032
114355aa016a8
1219860761194
13a74131c941
1455c850c240
152da8a9a5a7
hex1a147101c0

112012100032 has 112 divisors (see below), whose sum is σ = 263941560000. Its totient is φ = 46146207744.

The previous prime is 112012100021. The next prime is 112012100033. The reversal of 112012100032 is 230001210211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 112012099985 and 112012100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012100033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956344 + ... + 2993992.

Almost surely, 2112012100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131970780000).

112012100032 is an abundant number, since it is smaller than the sum of its proper divisors (151929459968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112012100032 is a wasteful number, since it uses less digits than its factorization.

112012100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37926 (or 37916 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112012100032 its reverse (230001210211), we get a palindrome (342013310243).

The spelling of 112012100032 in words is "one hundred twelve billion, twelve million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 229 232 406 448 458 464 812 916 928 1603 1624 1832 1856 3206 3248 3664 6412 6496 6641 7328 12824 12992 13282 14656 25648 26564 37649 46487 51296 53128 75298 92974 102592 106256 150596 185948 212512 263543 301192 371896 425024 527086 602384 743792 1054172 1091821 1204768 1487584 2108344 2183642 2409536 2975168 4216688 4367284 7642747 8433376 8621621 8734568 15285494 16866752 17243242 17469136 30570988 34486484 34938272 60351347 61141976 68972968 69876544 120702694 122283952 137945936 241405388 244567904 250027009 275891872 482810776 489135808 500054018 551783744 965621552 1000108036 1750189063 1931243104 2000216072 3500378126 3862486208 4000432144 7000756252 8000864288 14001512504 16001728576 28003025008 56006050016 112012100032